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Finding the Fourth Proportional to 1,158.84, 1,737.93 and 541.95

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Solution

The fourth proportional to 1,158.84, 1,737.93 and 541.95 is: 812.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.84 : 1,737.93 = 541.95 : x
  2. Step 2: Convert to fraction form
    1,158.84/1,737.93 = 541.95/x
  3. Step 3: Cross multiply
    1,158.84x = 1,737.93 × 541.95
  4. Step 4: Simplify right side
    1,158.84x = 941,871.16
  5. Step 5: Solve for x
    x = 941,871.16/1,158.84
  6. Step 6: Final answer
    x = 812.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.